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Suppose that we had a set J = {(x,y)| x, y ∈Z}. What is true about , where ⊕is defined as (a,b) ⊕(c,d) = (a-c, b-d)?

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Suppose that we had a set J = {(x,y)| x, y ∈Z}. What is true about <J,⊕>, where ⊕is defined as (a,b) ⊕(c,d) = (a-c, b-d)?





 
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